During olefin polymerization on heterogeneous catalyst, a catalyst particle undergoes fragmentation, and the formed polymer gets deposited on the fragments. These polymer-coated fragments (microparticles) together form a porous polymer particle (macroparticle). The multigrain model (MGM) gives a detailed description by accounting for the monomer diffusion phenomena at both levels. The original approach to solution involved a sequential shell-by-shell determination of monomer concentration profiles, with both radial boundaries of the shells moving with the particle growth. A fixed boundaly system of simultaneous differential equations enables easier computer implementation of the MGM model. Further, in a new development presented here, the interstitial spaces between the microparticles make up the pores through which monomer transport occurs not only by diffusion, but also by convection. The convection is driven by the pressure gradient created by the monomer consumption within the particle. Consistent with recent experimental observations, significantly higher monomer transport rates are thus predicted.Correspondence concerning this article should be addressed to U. S . Agdnval (Galvan and Tirrell, 1986). Then, we proceed to incorporate in this model an additional mode of monomer transport into the polymer particle, that is, monomer convection through the interconnected pores in the two-phase particle.During olefin polymerization on heterogeneous catalyst, the catalyst particle undergoes fragmentation and the polymer so formed gets deposited on the fragments. These polymercoated fragments (microparticles) together form a porous polymer particle (macroparticle). The overall reaction rate can be limited by the monomer transport, first through the porous macroparticle, and then within the microparticle (to the active sites on the catalyst fragments). The PFM, first proposed by Schmeal and Street (1971) and Singh and Merrill (1971), provides a simple description of the phenomena. It assumes the intraparticle mass transfer to be simply Fickian diffusion through the polymer. Galvan and Tirrell (1986) considered a mathematical transformation to convert the moving-boundary problem into a fixed-boundary problem.